Stericated 8-simplexes


In eight-dimensional geometry, a stericated 8-simplex is a convex uniform 8-polytope with 4th order truncations of the regular 8-simplex. There are 16 unique sterications for the 8-simplex including permutations of truncation, cantellation, and runcination.

Stericated 8-simplex

Acronym: secane

Coordinates

The Cartesian coordinates of the vertices of the stericated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the stericated 9-orthoplex.

Bistericated 8-simplex

Acronym: sobcane

Coordinates

The Cartesian coordinates of the vertices of the bistericated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the bistericated 9-orthoplex.

Steritruncated 8-simplex

Acronym: catene

Bisteritruncated 8-simplex

Acronym: bictane

Stericantellated 8-simplex

Acronym: crane

Bistericantellated 8-simplex

Acronym: bocrane

Stericantitruncated 8-simplex

Acronym: cograne

Bistericantitruncated 8-simplex

Acronym: bocagrane

Steriruncinated 8-simplex

Acronym: capene

Bisteriruncinated 8-simplex

Acronym: bacpane

Steriruncitruncated 8-simplex

Acronym: coptane

Bisteriruncitruncated 8-simplex

Acronym: bicpotane

Steriruncicantellated 8-simplex

Acronym: coprene

Bisteriruncicantellated 8-simplex

Acronym: bicprene

Steriruncicantitruncated 8-simplex

Acronym: gacene

Bisteriruncicantitruncated 8-simplex

Acronym: gobcane

Related polytopes

The 16 presented polytopes are in the family of 135 uniform 8-polytopes with A8 symmetry.